Systems of Equations

Which point satisfies the system of equations?

• (3, 1)

• (1, 3)

• (-1, 3)

• No solution

What is the solution to the system of equations?

y = 2x -11

-3y = -6x -15

• (-1.5, -4)

• (1.5, 4)

• No solution (parallel lines)

• Infinitely many solutions

What is the x-value of the solution to the system of equations?

2x − 3y = −1

y = x − 1

• -2

• 0

• 3

• 4

An Algebra book has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more pages than the first part.

Write a system of equations to find the number of pages for each part of the book.

Let x = number of pages of the first part of the book

and y = number of pages of the second part of the book

• x + y =1382

  y = 64x

• x + y =1382

  y = 64 + x

• x + y =1382

  y = x - 64

• x + y =1382

  y = -64x

Tags

CCSS.HSA.CED.A.3

Dennis found a bag consisting of dimes and nickels. He counted the coins and found out that there are 80 coins in all worth $6.60.

Write a system of equations to find the number of each kind of coin in the bag. Let x = number of dimes and y = number of nickels.

• 10x + 5y = 8

  x + y = 6.60

• x + y = 6.60

  .10x + .05y = 80

• .10x +. 05y = 6.60

  x + y = 80

• 10x + 5y = 6.60

  xy = 80

The graphs of k₁ and k₂ are shown on the grid. Which system of equations is best represented by this graph?

• 3x - y = 2

  4x + 9y = 36

• 3x - y = 6

  4x + 9y = 4

• x - 3y = -18

  9x + 4y = 9

• x + y = 10

  9x + 4y = 13

The tables of ordered pairs represent some points on the graph of lines q and v. Which system of equations is represented by lines q and v?

• 21x - y = 9

  5x + 8y = 40

• 3x - y = -27

  x + 2y = 16

• 21x - y = 9

  5x + 6y = 20

• 9x - y = -27

  x + 2y = 8

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. 

• 35 nachos, 52 sodas
• 18 nachos, 69 sodas
• 52 nachos, 35 sodas
• 61 nachos, 26 sodas

Tags

CCSS.8.EE.C.8C